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Finding the Third Proportional to 653.80 and 1,426.68

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Solution

The third proportional to 653.80 and 1,426.68 is: 3,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 1,426.68 = 1,426.68 : x
  2. Step 2: Convert to fraction form
    653.80/1,426.68 = 1,426.68/x
  3. Step 3: Cross multiply
    653.80x = 1,426.68 × 1,426.68
  4. Step 4: Simplify right side
    653.80x = 2,035,403.78
  5. Step 5: Solve for x
    x = 2,035,403.78/653.80
  6. Step 6: Final answer
    x = 3,113.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.